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536900 = 225271359
BaseRepresentation
bin10000011000101000100
31000021111012
42003011010
5114140100
615301352
74364210
oct2030504
91007435
10536900
11337421
1221a858
1315a4c0
14dd940
15a9135
hex83144

536900 has 72 divisors (see below), whose sum is σ = 1458240. Its totient is φ = 167040.

The previous prime is 536891. The next prime is 536909. The reversal of 536900 is 9635.

Added to its reverse (9635) it gives a triangular number (546535 = T1045).

It is an interprime number because it is at equal distance from previous prime (536891) and next prime (536909).

It is a super-2 number, since 2×5369002 = 576523220000, which contains 22 as substring.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (536909) by changing a digit.

536900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9071 + ... + 9129.

2536900 is an apocalyptic number.

536900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729120).

536900 is an abundant number, since it is smaller than the sum of its proper divisors (921340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

536900 is a wasteful number, since it uses less digits than its factorization.

536900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 536900 is about 732.7346040689. The cubic root of 536900 is about 81.2764016764.

Adding to 536900 its reverse (9635), we get a triangular number (546535 = T1045).

The spelling of 536900 in words is "five hundred thirty-six thousand, nine hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 59 65 70 91 100 118 130 140 175 182 236 260 295 325 350 364 413 455 590 650 700 767 826 910 1180 1300 1475 1534 1652 1820 2065 2275 2950 3068 3835 4130 4550 5369 5900 7670 8260 9100 10325 10738 15340 19175 20650 21476 26845 38350 41300 53690 76700 107380 134225 268450 536900